CTJan27 Online Year 5 - LCM and Fraction Addition and Subtraction
Student Name
Student Email
1
Using the Ladder Method (or Prime Factorization), find the Least Common Multiple (LCM) of $8$ and $12$.
$12$
$16$
$24$
$48$
2
What is the LCM of $9$, $15$, and $18$?
$45$
$90$
$135$
$180$
3
Calculate the Least Common Multiple of $10$, $15$, and $20$.
$30$
$40$
$60$
$120$
4
Find the LCM of the four composite numbers: $6$, $8$, $10$, and $12$.
$60$
$96$
$120$
$240$
5
What is the LCM of $14$ and $21$?
$7$
$28$
$42$
$84$
6
Determine the LCM of $12$, $16$, and $24$.
$24$
$32$
$48$
$96$
7
Find the LCM of $5$, $15$, and $25$.
$25$
$50$
$75$
$100$
8
Calculate the LCM of $4$, $6$, and $9$.
$18$
$24$
$36$
$72$
9
What is the LCM of $18$, $24$, and $36$?
$54$
$72$
$108$
$144$
10
Find the LCM of $10$, $25$, $50$, and $75$.
$100$
$150$
$200$
$300$
11
Three different tour buses depart from the terminal. Bus A leaves every $15$ minutes, Bus B every $20$ minutes, and Bus C every $30$ minutes. If all three buses depart together at $8:00$ AM, what is the next time they will all depart together?
$8:45$ AM
$8:50$ AM
$9:00$ AM
$9:30$ AM
12
Four cyclists are riding around a track. They take $3$, $4$, $6$, and $8$ minutes respectively to complete one lap. If they all start at the same time, after how many minutes will they all cross the starting line simultaneously again?
$12$ minutes
$16$ minutes
$24$ minutes
$36$ minutes
13
A warehouse needs to stack boxes that have heights of $18$ cm, $24$ cm, and $36$ cm. To save space, they want all stacks to reach the same minimum height. What is that minimum height?
$36$ cm
$48$ cm
$72$ cm
$144$ cm
14
Three alarm clocks are set to ring at regular intervals. Clock 1 rings every $12$ minutes, Clock 2 rings every $18$ minutes, and Clock 3 rings every $27$ minutes. If they all ring together exactly at $1:00$ PM, when is the next time they will ring together?
$2:00$ PM
$2:18$ PM
$2:36$ PM
$2:48$ PM
15
A supply store sells shirts in packs of $10$, pants in packs of $8$, and socks in packs of $12$. If the store wants to stock the minimum quantity of each item so that the total number of shirts, pants, and socks are equal, how many total items of clothing (LCM value) will they buy?
$80$
$120$
$240$
$480$
16
A baker orders flour every $6$ days, sugar every $9$ days, and butter every $12$ days. If all three ingredients were ordered today, how many days will pass before the baker needs to order all three ingredients on the same day again?
$18$ days
$24$ days
$36$ days
$48$ days
17
A gardener plants oak trees every $15$ meters, maple trees every $25$ meters, and pine trees every $50$ meters along a long road. If the first tree of each kind is planted at the starting point ($0$ meters), how far from the start will they all be planted together again?
$50$ meters
$75$ meters
$100$ meters
$150$ meters
18
What is the smallest positive whole number that is completely divisible by $4$, $7$, and $14$?
$14$
$28$
$42$
$56$
19
Four traffic lights change color at intervals of $12$ seconds, $15$ seconds, $20$ seconds, and $30$ seconds. If they all change simultaneously at $10:00$ AM, how many seconds later will they change color together again?
$30$ seconds
$45$ seconds
$60$ seconds
$120$ seconds
20
Three recurring monthly tasks are due every $7$ days, $14$ days, and $28$ days, respectively. If all three tasks were completed today, how many days must pass until the day they all need to be completed again?
$14$ days
$21$ days
$28$ days
$42$ days
21
Calculate the sum: $\frac{1}{2} + \frac{1}{4} + \frac{3}{8}$.
$\frac{9}{8}$
$\frac{5}{14}$
$1\frac{1}{8}$
$\frac{7}{8}$
22
Evaluate: $\frac{2}{3} - \frac{1}{6} - \frac{1}{9}$.
$\frac{7}{18}$
$\frac{1}{2}$
$\frac{5}{18}$
$\frac{11}{18}$
23
Find the result of: $\frac{4}{5} + \frac{3}{10} - \frac{1}{2}$.
$\frac{3}{5}$
$\frac{11}{10}$
$\frac{7}{10}$
$\frac{4}{5}$
24
Add the following fractions: $\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{6}$.
$1\frac{1}{4}$
$\frac{15}{12}$
$1\frac{5}{12}$
$1\frac{1}{3}$
25
Simplify: $\frac{11}{12} - \frac{1}{4} - \frac{1}{3}$.
$\frac{1}{3}$
$\frac{7}{12}$
$\frac{2}{3}$
$\frac{1}{12}$
26
Calculate: $1 + \frac{2}{3} - \frac{1}{5} + \frac{2}{15}$.
$1\frac{3}{5}$
$\frac{19}{15}$
$2\frac{4}{15}$
$\frac{8}{5}$
27
What is the value of $\frac{3}{4} + \frac{1}{5} + \frac{3}{10}$?
$1\frac{1}{4}$
$1\frac{1}{5}$
$\frac{23}{20}$
$\frac{25}{20}$
28
Calculate: $\frac{5}{6} + \frac{7}{12} - \frac{1}{3}$.
$1\frac{1}{12}$
$\frac{13}{12}$
$\frac{3}{4}$
$1\frac{5}{12}$
29
Evaluate: $\frac{5}{7} - \frac{1}{14} + \frac{1}{2}$.
$1\frac{1}{7}$
$\frac{8}{7}$
$\frac{15}{14}$
$\frac{16}{14}$
30
Simplify: $\frac{1}{2} - \frac{1}{3} + \frac{1}{5} - \frac{1}{6}$.
$\frac{1}{5}$
$\frac{7}{30}$
$\frac{1}{30}$
$\frac{6}{30}$
31
What is the sum of $\frac{7}{9} + \frac{2}{3} + \frac{5}{18}$?
$1\frac{13}{18}$
$\frac{31}{18}$
$1\frac{5}{18}$
$2\frac{1}{18}$
32
Calculate: $\frac{5}{8} + \frac{2}{3} - \frac{1}{4}$.
$1\frac{1}{24}$
$\frac{25}{24}$
$1\frac{19}{24}$
$\frac{17}{24}$
33
Calculate: $\frac{9}{10} - \frac{1}{5} - \frac{3}{10}$.
$\frac{2}{5}$
$\frac{1}{5}$
$\frac{4}{10}$
$\frac{3}{10}$
34
Find the value of $2 - \frac{1}{6} + \frac{3}{4} + \frac{2}{3}$.
$3\frac{1}{4}$
$3\frac{7}{12}$
$\frac{39}{12}$
$\frac{13}{4}$
35
Determine the result of $\frac{3}{8} + \frac{1}{2} + \frac{1}{4} + \frac{1}{16}$.
$1\frac{3}{16}$
$\frac{19}{16}$
$1\frac{1}{16}$
$\frac{17}{16}$
36
Calculate: $\frac{17}{18} - \frac{1}{2} + \frac{1}{9}$.
$\frac{5}{9}$
$\frac{10}{18}$
$\frac{1}{2}$
$\frac{8}{18}$
37
Calculate the sum: $\frac{1}{3} + \frac{1}{4} + \frac{1}{5}$.
$\frac{47}{60}$
$\frac{3}{12}$
$\frac{45}{60}$
$\frac{1}{60}$
38
Evaluate: $\frac{7}{8} - \frac{1}{2} - \frac{1}{4}$.
$\frac{1}{8}$
$\frac{3}{8}$
$\frac{7}{14}$
$0$
39
What is the result of $\frac{3}{4} + \frac{1}{9} - \frac{1}{12} + \frac{1}{3}$?
$1\frac{1}{9}$
$\frac{10}{9}$
$\frac{40}{36}$
$1\frac{4}{36}$
40
Calculate and simplify: $\frac{3}{5} + \frac{2}{7} - \frac{1}{35}$.
$\frac{6}{7}$
$\frac{30}{35}$
$\frac{32}{35}$
$\frac{4}{5}$
41
Calculate the exact value of the expression: $\frac{1}{2} + \frac{1}{3} + \frac{1}{4}$.
$1\frac{1}{12}$
$\frac{11}{12}$
$1\frac{1}{24}$
$\frac{13}{24}$
42
What is the result of the following mixed operation: $\frac{5}{6} - \frac{1}{3} + \frac{1}{4} - \frac{1}{8}$?
$\frac{7}{12}$
$\frac{13}{24}$
$\frac{5}{8}$
$\frac{17}{24}$
43
Evaluate the expression: $2\frac{1}{5} - \frac{3}{10} - \frac{1}{2}$.
$1\frac{3}{10}$
$1\frac{2}{5}$
$1\frac{1}{5}$
$\frac{14}{5}$
44
Find the sum of the four fractions: $\frac{3}{4} + \frac{1}{6} + \frac{5}{12} + \frac{1}{3}$.
$1\frac{7}{12}$
$1\frac{1}{3}$
$1\frac{2}{3}$
$\frac{19}{12}$
45
Solve: $\frac{11}{15} + \frac{2}{5} - \frac{1}{3}$. Express your answer in simplest form.
$\frac{4}{5}$
$\frac{2}{3}$
$\frac{17}{15}$
$\frac{2}{5}$
46
Calculate: $\frac{7}{10} - \frac{1}{5} + \frac{3}{4} - \frac{1}{20}$.
$1\frac{1}{20}$
$\frac{23}{20}$
$1\frac{1}{5}$
$1\frac{3}{10}$
47
What is the total sum of $\frac{5}{8} + \frac{7}{12} + \frac{1}{6}$?
$1\frac{1}{2}$
$1\frac{3}{8}$
$\frac{31}{24}$
$1\frac{1}{24}$
48
Find the difference: $3 - \frac{1}{2} - \frac{3}{8} - \frac{1}{4}$.
$2\frac{1}{8}$
$1\frac{5}{8}$
$1\frac{7}{8}$
$\frac{15}{16}$
49
Determine the result of the calculation: $\frac{2}{7} + \frac{1}{6} - \frac{1}{3}$.
$\frac{1}{6}$
$\frac{5}{42}$
$\frac{2}{21}$
$\frac{11}{42}$
50
A baker combined four different fractions of flour: $\frac{1}{10}$ cup, $\frac{1}{15}$ cup, $\frac{1}{6}$ cup, and $\frac{1}{5}$ cup. What is the total amount of flour?
$\frac{17}{30}$
$\frac{1}{2}$
$\frac{8}{15}$
$\frac{4}{15}$
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